1211121112110 has 384 divisors, whose sum is σ = 3761760610944. Its totient is φ = 247164825600.

The previous prime is 1211121112093. The next prime is 1211121112141. The reversal of 1211121112110 is 112111211121.

It is a super-3 number, since 3×1211121112110³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1211121112110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 122318160 + ... + 122328060.

It is an arithmetic number, because the mean of its divisors is an integer number (9796251591).

Almost surely, 2^{1211121112110} is an apocalyptic number.

1211121112110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1211121112110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1880880305472).

1211121112110 is an abundant number, since it is smaller than the sum of its proper divisors (2550639498834).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1211121112110 is a wasteful number, since it uses less digits than its factorization.

1211121112110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10148 (or 10141 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 1211121112110 its reverse (112111211121), we get a palindrome (1323232323231).

It can be divided in two parts, 1211121 and 112110, that added together give a palindrome (1323231).

The spelling of 1211121112110 in words is "one trillion, two hundred eleven billion, one hundred twenty-one million, one hundred twelve thousand, one hundred ten".